Fuzzy Optimal Replenishment Policy for Weibull Deteriorating Items with Ramp Type Demand and Partial Backlogging Under Permissible Delay in Payments
نویسندگان
چکیده
Abstract -In this paper, we developed a fuzzy optimal replenishment policy for Inventory models of Weibull Deterioration items with Ramp type Demand under permissible delay in payments. Deterioration of items begins on their arrival in stock. The shortages are allowed and partially backlogged. All the inventory costs involved in this model are taken as triangular fuzzy numbers. Replenishment cycle length, the time at which shortage begins are taken as decision variables. Graded mean integration representation method is used to defuzzify the model. The derived model is illustrated by a numerical example and its sensitivity analysis is carried out.
منابع مشابه
Two-Warehouse Inventory Model for Deteriorating Items with Time-Dependent Demand and Partial Backlogging Under Inflation
This paper deals with a two-warehouse inventory model for deteriorating items with time dependent demand and partial backlogging under inflation. It is assumed that deterioration of items follows two-parameter Weibull distribution and demand rate varies exponentially with time. Shortages are allowed and partial backlogging depends on waiting time of next replenishment. A numerical example is pr...
متن کاملFuzzy Economic Production Quantity Model for Weibull Deteriorating Items with Ramp Type of Demand
This paper discusses an Economic Production Quantity model for Weibull deteriorating items over an infinite time horizon under fuzzy environment. Fuzziness is introduced by allowing the cost components such as setup cost, production cost, holding cost, shortage cost and opportunity cost due to lost sales to certain extent. Triangular fuzzy numbers are used to represent the mentioned costs. Opti...
متن کاملEOQ Model for Delayed Deteriorating Items with Shortages and Trade Credit Policy
This paper deals with a deterministic inventory model for deteriorating items under the condition of permissible delay in payments with constant demand rate is a function of time which differs from before and after deterioration for a single item. Shortages are allowed and completely backlogged which is a function of time. Under these assumptions, this paper develops a retailer's model for obta...
متن کاملAn Inventory Model for Deteriorating Items with Multi-variate Demand and Partial Backlogging under Inflation
This paper deals with an optimal replenishment policy for deteriorating items with multi-variate demand and partial backlogging. The proposed model allows for (1) multivariate demand replenishment cycles, (2) partial backlogging, and (3) time-varying shortage intervals. Consequently, the proposed model is in a general framework for that inventory models includes these above assumptions. We show...
متن کاملAn EOQ Model for Non-Instantaneous Deteriorating Items with Power Demand, Time Dependent Holding Cost, Partial Backlogging and Permissible Delay in Payments
Abstract—In this paper, Economic Order Quantity (EOQ) based model for non-instantaneous Weibull distribution deteriorating items with power demand pattern is presented. In this model, the holding cost per unit of the item per unit time is assumed to be an increasing linear function of time spent in storage. Here the retailer is allowed a trade-credit offer by the supplier to buy more items. Als...
متن کامل